The polynomial function has zeroes as given by x=0
In general, given zeroes of a polynomial function, a, b, c, and d, we can write the function as the multiplication of the factors
(x-a), (x-b), (x- c), and (x-d) then the degrees are 4
simply:
f(x)=(x-a) (x-b) (x- c) (x-d)
In this case, we can show that each of a, b, c, and d are zeroes of the function:
f(a)=(a-a) (a-b) (a-c) (a-d)
= (0) (a-b) (a-c) (a-d)
=0
f(b)=(b-a) (b-b) (b-c) (b-d)
=(b-a) (0) (b-c) (b-d)
=0
f(c)=(c-a) (c-b) (c-c) (c-d)
=(c-a) (c-b) (0) (c-d)
=0
f(d)=(d-a) (d-b) (d-c) (d-d)
=(d-a) (d-b) (d-c) (0)
=0
since the value of the function at x=a, x=b, c, and d are equal to 0, then the function
f(x)=(x-a) (x-b) (x- c) (x-d) has zeroes at a, b, c and d
with the generalized form, we can substitute for the given zeroes,
x=-5, x=-2,0and 5 where a=-5, b=-2, c=0 and x=5
f(x)=(x-(-5)) (x-(-2)) (x-0) (x-5)
simplifying gives:
f(x)=(x+5) (x+2) x(x-5)
from here, we can put it in standard polynomial form by foiling the right side:
f(x)=x^3+2x^2-25x-50
To double-check the answer, just plug in the given zeroes, and ensure the value of the function at those points is equal to 0.
f (-5) =x^3+2x^2-25x-50
=(-5)^3+2(-5)^2-2(-5)-50
f (-5) =0
f (-2) =(-2)^3+2(-2)^2-2(-2)-50
f (-2) =0
f (0) =0
f (5) =(5)^3+2(5)^2-2(5)-50
=0
Hence, the function has zeroes as given by x=0.
To learn more about polynomial function, visit
brainly.com/question/19507085
#SPJ9
Help!!! Whats The answer, Please explain your answer Marking brainlliest:D......
Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
[tex]V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3[/tex]
a semigroup which has a left identity element and in which every element has a right inverse is a group
Element and in which every element has a right inverse is a group?
Now, If both the identity and the inverse are of the same side, this is simple. For, instead of the above, say every element has a left inverse. For a∈G denote this left inverse by a−1.
Then(aa−1)(aa−1)=a(a−1a)a−1=aa−1
and we can use the fact that
cc=c
⟹c=1
to get that inverses are in fact two-sided: aa−1=1
From which it follows that
a=1⋅
a=(aa−1)a=a(a−1a)=a⋅
1 as desired. But in the scenario given we cannot use cc=c⟹c=1, and I can see no other way to prove this.
To know more about Semigroup follow the given link below visit : https://brainly.com/question/13258417
#SPJ4
Six more than twice a number is ten. Find the number.
a. Write the equation.
b. Solve for the variable
Answer:
2x + 6 = 10
x = 2
Step-by-step explanation:
2x + 6 = 10
2x = 4
x = 2
The required number is 2 and
a. The equation is 2x + 6 = 10
b. The variable is x = 2
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Let x be the number.
Now according to the given statement,
Six more than twice a number is 2x + 6
and it is 10.
So we can write
2x + 6 = 10
Substracting by 6 to the both side we get,
2x = 4
Dividing the equation by 2 we get
x = 2
Hence,The required number is 2 and
a. The equation is 2x + 6 = 10
b. The variable is x = 2
More about linear equation :
https://brainly.com/question/16584198
#SPJ2
6.
Find the HCF of 12ab2, 9ab'c and 36abc.
Answer:
first make all seperate and find out the commons
Answer:
3ab
Step-by-step explanation:
12ab²= 3*2*2*a*b*b
9abc = 3*3*a*b*c
36abc = 3*3*2*2*a*b*c
HCF = 3ab
What are the solutions of 4x^2- x + 9 = 0 ?
PLEASE HURRY AND HELP ITS TIMED!!
Answer:
Hope this helps luv!
Step-by-step explanation:
There are no solutions. Copy and paste this for more help; 4x^2- x + 9 = 0
Y=2x-14 , y=-8+16
One solution
Infinity solution
No solution
Answer:
One solution; x = 11, y = 8
Step-by-step explanation:
y = 2x - 14
y = -8 + 16
y = -8 + 16
y = 8
y = 2x - 14
8 = 2x - 14
2x = 22
x = 11
Given 18.6 × 4.5, find the product.
83.7
75.33
72.3
8.37
Answer:
83.7
Step-by-step explanation:
just use ur calculator
What are the vertex and range of y = |x + 1| + 3?
According to the given statement
The vertex of the function y = |x + 1| + 3 is (-1,3).
The range of the function y = |x + 1| + 3 is [3,∞)
what is Absolute value function?A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.
According to the given information:The vertex of the function y = |x + 1| + 3
The function is given as:
y = |x + 1| + 3
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a |x – h| + k
Where, the vertex is (h ,k)
So, we have:
(h ,k) = (-1,3)
Hence, the vertex of the function y = |x + 1| + 3 is (-1,3).
The range of the function y = |x + 1| + 3 is [3,∞)
To know more about absolute value function visit:
https://brainly.com/question/10664936
#SPJ4
Which equation represents f(x)?
The graph of the cube root parent function y = fx is
translated to form f(x) shown on the graph.
Of(x) = 3/x+6 + 1
Ту
5
Of(x) = 3x - 6+1
4
F(X)
O f(x) = }}x+6-1
3
2+
1-
Of(x) = 3/X-6-1
2
4
4
6
8 10
х
-10-3 -6 -4 -24
- 2-
-3
4
47
Answer: The answer is A
Step-by-step explanation:
Hope this helps :)
Function transformation involves changing the form of a function.
The equation of the translated function is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
The parent function is given as:
[tex]f(x) = \sqrt[3]{x}[/tex]
First, the function is shifted left by 6 units.
The rule of this translation is:
[tex](x,y) \to (x + 6,y)[/tex]
So, we have:
[tex]f(x) = \sqrt[3]{x + 6}[/tex]
Next, the function is shifted up by 1 unit.
The rule of this translation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
Hence, the equation of the translated function is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
You invest $2,500 in each of two accounts. Account A earns simple interest at a rate of 2% over 4 years. Account B earns simple interest at a rate of 6% over 18 months. Find the interest earned by each account. How does the interest earned by the two accounts compare? Use paper and pencil. Give an example of two principal amounts and two simple interest rates that would earn equal amounts of interest in one year. Give an example of two principal amounts and two periods of time for which the simple interest earned at 2.42% would be equal
Answer: See explanation
Step-by-step explanation:
You invest $2,500 in each of two accounts. Account A earns simple interest at a rate of 2% over 4 years.
Interest = PRT / 100
= (2500 × 2 × 4) / 100
= 20000 / 100
= $200
Account B earns simple interest at a rate of 6% over 18 months.
Interest = PRT / 100
= (2500 × 6 × 1.5) / 100
= 22500 / 100
= $225
Interest for account B is more than that of account A at a shorter period of time.
An example of two principal amounts and two simple interest rates that would earn equal amounts of interest in one year will be:
A: Principal = $2000
Interest rate = 3%
Simple interest = (2000 × 3 × 1)/100 = $60
B. Principal = $3000
Interest rate = 2%
Simple interest = (3000 × 2 × 1) / 100
= 6000 / 100
= $60
If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!
Answer:
If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!If u do this u is smart and i also need help please report cards are next week!!!!!!!!!!!
Step-by-step explanation:
what is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x+3y=15?
[tex]equation \: of \: required \: line \implies[/tex]
[tex]4x + 3y + k = 0-----(1)[/tex]
[tex]since \: it \: passes \: through \: ( - 3,1),[/tex]
[tex] - 12 + 3 + k = 0[/tex]
[tex]k = 9[/tex]
[tex]substituting \: in \: k = 9 \: in \: (1),[/tex]
we get,
[tex]4x + 3y + 9 = 0[/tex]
[tex]hence \: the \: equation \: of \: the \: line \implies[/tex]
[tex] \red{ \boxed{ \bold{4x + 3y + 9 = 0}}}[/tex]
find nth term of 3,6,11,18 and give steps please (method)
Answer:
excuse me friend, for you to get the next pattern, you have to know what has been done from this number to the other number.
so from 3 to 6 it was a + 3 from 6 to 11 it was a+5 from 11 to 18 it was a + 7.
if you look carefully,2,3 and 7 are odd numbers meaning that the next pattern should be an odd number (9) which will be added to the numbers at the top.
you can still say that they were increasing by 2. (3 to 5 to 7)
so you can add 2 to 7 to get a nine. then,add 9 to 18 to get a 27.
Good day.
Write an equation for a line that passes thruogh (3,-1) and has a slope of 2
Answer:
y=2x−7
Step-by-step explanation:
so
formula is ( y 1 − y = m ( x 1 − x))
m is the slope
-1-y=2(3-x)
add 1 to both sides
−y−1+1=−2x+6+1
−y=−2x+7
divide both sides by -1
y=2x−7
Hope this helps
Brainliest please
Ask if u have more questions.
Ten more than half a number is 9
Find the Slope m of the line that passes through the pair of points ( -4 , 4 ) and ( -4 , 0 ).
Given the following functions, find and simplify (f. g)(5.5).
Provide your answer below:
(f-g)(5.5)=
f(x) = -x + 6
g(x) = -12x - 6
Answer:
78
Step-by-step explanation:
To compute (f.g)(5.5) , first compute g(5.5) , then use that value in f(x) to compute the composite function value
g(5.5) = -12(5.5) - 6 = -66 - 6 = -72
Use this value for x in f(x) = -x + 6
f(g(5.5)) = f(-72) = -(-72) + 6 = 72 + 6 = 78
because a few extreme scores can create a deceptively large variation, the offers only a crude estimate of the variation in a data set.
Because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.
What is a range?The range of a set of numbers is the difference between the highest and lowest values. Subtract the smallest number from the largest number in the set to calculate the range. To calculate the range, find the maximum observed value of a variable and subtract the minimum observed value (the minimum). The range only considers these two values and ignores the data points between the distribution's two extremes.Because a few extreme scores can produce an erroneously large estimate of variation, the range provides only a rough estimate of the variation in a data set.Therefore, because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.
Know more about the range here:
https://brainly.com/question/26098895
#SPJ4
The complete question is given below:
Because a few extreme scores can create a deceptively large estimate of variation, the _________ offers only a crude estimate of the variation in a data set.
(A) standard deviation
(B) range
(C) mode
(D) mean
this book is presently being used at xgnu university. the area of the cover of this book is 72.5 square krylls. what is its area in square blims?"" excerpt from: steven s. zumdahl. ""introductory chemistry: a foundation."" ibooks.
Converting the book's cover area from 72.5 square krylls to square blims is 0.051785 square blims.
What is the conversion rate?The conversion rate refers to the rate of change of a unit of measurement to another unit.
For example, the conversion rate for 100 centimeters equals 1 meter.
To convert the higher unit to a smaller unit, we divide.
Data and Calculations:Given that 1400 kryll = 1 blim
Area of the book's cover = 72.5 square krylls
The area in square blims = 0.051785 square blims (72.5/1,400).
Thus, the converted area of the book's cover from 72.5 square krylls to square blims is 0.051785 square blims.
Learn more about conversion rates at https://brainly.com/question/17491464
#SPJ1
Question Completion:The Xgnuese has 14 fingers, perhaps it is not surprising that 1400 kryll = 1 blim.
SYSTEMMMMMMM OF A EQUATIONSSSSSSSSSSSSSSSSSSSSSSSSS
Answer: B maybe i hope this was help
Step-by-step explanation:
in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 56 and a standard deviation of 3. using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 53 and 59?
Answer:
i am very sad , because I had ordered some clothes and it's been 15 days and still it's not arrived
Step-by-step explanation:
Answer
Step-by-step explanation:
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Does 6 equal to the absolute value of -6
Answer:
yes
Step-by-step explanation:
Jamie is training for race and runs a 9 minute mile. She has cut a total 39 seconds off her time over the past 6 months. The situation can represented by the expression- 39 divided by 6. On average, how much time she cut off of her mile each month? Find the solution and explain what it means in the context of the problem.
1) On average, the time Jamie cut off her mile each month is 6.5 seconds.
2) In this context, the 6.5 seconds that Jamie cut off her mile each month means that she can finish a 9-minute-mile race by less than 6.5 seconds.
How is the average cut-off time determined?The average cut-off time per month is determined by the mathematical operation of division.
Average refers to the mean of a data set divided by the number in the data set.
Data and Calculations:The race Jamie is training for = a 9-minute mile
Cut-off time achieved in 6 months = 39 seconds
Period of training = 6 months
Average cut-off time = 6.5 seconds (39/6)
Time Jamie can finish the race = 8 minutes and 53.5 seconds (9 minutes - 6.5 seconds)
Thus, Jamie can complete the race in 8 minutes and 53.5 seconds if she maintains the average.
Learn more about averages at https://brainly.com/question/20118982
#SPJ1
If h(x) = −3x − 10, find h(−3).
Answer:
9
Step-by-step explanation:
h=-3
-3(-3)= 9
Answer:
h(-1)
h= -1
Step-by-step explanation:
a line passes through the point (-4, 7) and has a slope of 5/4
Answer:
y = 5/4x+ 7
Step-by-step explanation:
slope - intercept form : y =mx+b
m = slope
b = y intercept
slope (m): 5/4
y intercept (b) = 7
y = 5/4x+7
WILL GIVE BRAINLIST IF CORRECT! DUE IN 10 MINS
December 10th . 2020
3. Write an equation for each line.
Answer:
y=4 x= undefined
Step-by-step explanation:
Answer:
red and green line are zero blue and yellow are undefined
Step-by-step explanation:
Find T given that the line segment joining:
(2,5) and (T, T) has gradient 4/7
The slope (or gradient) can be solved by using this equation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
m = slope[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the lineSolving the QuestionWe're given:
Line passes through (2,5) and (T,T)Gradient = [tex]\dfrac{4}{7}[/tex]Plug all the given information into the equation above:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{4}{7}=\dfrac{T-5}{T-2}[/tex]
This means that T - 5 must equal 4 and T - 2 must equal 7.
[tex]T-5=4[/tex]
[tex]T-2=7[/tex]
Isolate T:
[tex]T=5+4[/tex]
[tex]T=9[/tex]
[tex]T=7+2[/tex]
[tex]T=9[/tex]
AnswerT = 9
Is this a function? {(2,2),(-1,5),(5,2),(2,-4)}
The given set of ordered pairs, {(2,2),(-1,5),(5,2),(2,-4)}, is not a function.
When is a Relation a Function?In a function, we have the domain values which are the set of x-values (input values), and the range values which are the set of y-values (output values). Each x-value of a function can only have one corresponding y-value. This implies that for a relation to be considered a function, no two y-values must be related or correspond to exactly one x-value.
Given, {(2,2),(-1,5),(5,2),(2,-4)}, the x-value, 2, is related to two different y-values, 2 and -4.
Therefore, the given set of ordered pairs is not a function.
Learn more about function on:
https://brainly.com/question/22340031
#SPJ1
I’ll mark u brainliest if u answer this question!!.!!!!!!!!!-!!:):):)
Answer:
a)60 per week
b) 6 weeks
Step-by-step explanation:
a)
[tex]240/4=60[/tex]
b)
[tex]349\leq 60x\\349/60\leq 60x/60\\5.82\leq x[/tex]